89684105395968 has 1008 divisors, whose sum is σ = 286900307366400. Its totient is φ = 27886462894080.

The previous prime is 89684105395967. The next prime is 89684105396077. The reversal of 89684105395968 is 86959350148698.

89684105395968 is a `hidden beast` number, since 8 + 9 + 6 + 8 + 4 + 10 + 5 + 3 + 9 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89684105395961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 82203579103 + ... + 82203580193.

It is an arithmetic number, because the mean of its divisors is an integer number (284623320800).

Almost surely, 2^{89684105395968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89684105395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143450153683200).

89684105395968 is an abundant number, since it is smaller than the sum of its proper divisors (197216201970432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89684105395968 is a wasteful number, since it uses less digits than its factorization.

89684105395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 89684105395968 in words is "eighty-nine trillion, six hundred eighty-four billion, one hundred five million, three hundred ninety-five thousand, nine hundred sixty-eight".